On the stability of blowup solutions for the critical corotational wave-map problem (Q2178449)

The authors show that the finite time blowup solutions for the corotational wave-map problem constructed by the first author along with Gao, Schlag, and Tataru are stable under suitably small perturbations within the corotational class, provided that the scaling parameter \(\lambda(t)=t^{-1-\nu}\) is sufficiently close to \(t^{-1}\). The method of proof is inspired by recent work by the first author and Burzio, and takes advantage of geometric structures of the wave-map problem.